Elliptic curve search results

Results (8 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
55470.j2	55470m1	55470.j	55470m	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{4} \cdot 3 \cdot 5^{8} \cdot 43^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$9.472553727$	$1$		$1$	$7265280$	$3.195660$	$64014401080027/18750000$	$1.00053$	$6.00909$	$[1, 0, 1, -66260803, -207555750802]$	\(y^2+xy+y=x^3-66260803x-207555750802\)	2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(-381101/9, 6979760/9)]$
55470.w2	55470r1	55470.w	55470r	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{4} \cdot 3 \cdot 5^{8} \cdot 43^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$1$	$1$		$1$	$168960$	$1.315058$	$64014401080027/18750000$	$1.00053$	$3.94318$	$[1, 1, 1, -35836, 2595533]$	\(y^2+xy+y=x^3+x^2-35836x+2595533\)	2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[]$
166410.bm2	166410bx1	166410.bm	166410bx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 43^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$2.413482672$	$1$		$3$	$1351680$	$1.864365$	$64014401080027/18750000$	$1.00053$	$4.13114$	$[1, -1, 0, -322524, -70401920]$	\(y^2+xy=x^3-x^2-322524x-70401920\)	2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(-324, 92)]$
166410.bo2	166410i1	166410.bo	166410i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 43^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$6.741643747$	$1$		$3$	$58122240$	$3.744965$	$64014401080027/18750000$	$1.00053$	$6.00826$	$[1, -1, 1, -596347223, 5604005271647]$	\(y^2+xy+y=x^3-x^2-596347223x+5604005271647\)	2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(13137, 185410)]$
277350.bb2	277350bb1	277350.bb	277350bb	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( 2^{4} \cdot 3 \cdot 5^{14} \cdot 43^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$1$	$1$		$1$	$4055040$	$2.119778$	$64014401080027/18750000$	$1.00053$	$4.20731$	$[1, 0, 1, -895901, 326233448]$	\(y^2+xy+y=x^3-895901x+326233448\)	2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[]$
277350.cr2	277350cr1	277350.cr	277350cr	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( 2^{4} \cdot 3 \cdot 5^{14} \cdot 43^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$1$	$25$	$5$	$1$	$174366720$	$4.000374$	$64014401080027/18750000$	$1.00053$	$6.00793$	$[1, 1, 1, -1656520063, -25944468850219]$	\(y^2+xy+y=x^3+x^2-1656520063x-25944468850219\)	2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[]$
443760.bo2	443760bo1	443760.bo	443760bo	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{16} \cdot 3 \cdot 5^{8} \cdot 43^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$10.38758926$	$1$		$1$	$174366720$	$3.888805$	$64014401080027/18750000$	$1.00053$	$5.68780$	$[0, -1, 0, -1060172840, 13283568051312]$	\(y^2=x^3-x^2-1060172840x+13283568051312\)	2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(5790724/9, 12686804000/9)]$
443760.bp2	443760bp1	443760.bp	443760bp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{16} \cdot 3 \cdot 5^{8} \cdot 43^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$9.716744418$	$1$		$1$	$4055040$	$2.008205$	$64014401080027/18750000$	$1.00053$	$3.95227$	$[0, 1, 0, -573376, -167260876]$	\(y^2=x^3+x^2-573376x-167260876\)	2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(-472886/33, 6043040/33)]$